Thanks for the PDF… so just to reiterate, you want separate menus for other pages when someone goes to them?
The only way is what I mentioned about making new menus, but using the menu widgets to load those menus (as you call submenus). You will only be able to publish the menu widget in the available widget positions for this theme…I believe you want them to show in the left column.
Depending on how many of these menus you want to have, it’s going to take some effort to carefully plan out what pages will have these menus. Using the Dynamic Widgets plugin is the only way to show these menus on select pages in your left column.